We propose a fully-corrective generalized conditional gradient method (FC-GCG) for the minimization of the sum of a smooth, convex loss function and a convex one-homogeneous …
In this paper we consider a problem of initial data identification from the final time observation for homogeneous parabolic problems. It is well-known that such problems are …
K Pieper, D Walter - ESAIM: Control, Optimisation and Calculus of …, 2021 - esaim-cocv.org
A class of generalized conditional gradient algorithms for the solution of optimization problem in spaces of Radon measures is presented. The method iteratively inserts …
This work studies the inverse problem of photoacoustic tomography (more precisely, the acoustic subproblem) as the identification of a space-dependent source parameter. The …
We propose an accelerated generalized conditional gradient method (AGCG) for the minimization of the sum of a smooth, convex loss function and a convex one-homogeneous …
D Hafemeyer, F Mannel, I Neitzel, B Vexler - arXiv preprint arXiv …, 2019 - arxiv.org
We consider an optimal control problem governed by a one-dimensional elliptic equation that involves univariate functions of bounded variation as controls. For the discretization of …
We analyse a solution method for minimization problems over a space of R d-valued functions of bounded variation on an interval I. The presented method relies on piecewise …
Piezoelectrics have a wide range of applications in industry, everyday life and research. This requires an accurate knowledge of the material behavior, which implies the solution of …